What is 1500*e^{-2000*(1/(513.15)-1/289)} ?

The solution to 1500*e^{-2000*(1/(513.15)-1/289)} is 30826.80100…

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simplify 1500e^{-2000(1/(513.15)-1/289)}

simplify

1500 \cdot e^{- 2000 \cdot (\frac{1}{513.15} - \frac{1}{289})}

30826.80100 \dots

Solution steps

1500 e^{- 2000 (\frac{1}{513.15} - \frac{1}{289})}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 1500 \cdot \frac{1}{e ^{2000 (\frac{1}{513.15} - \frac{1}{289})}}

\frac{1}{e ^{2000 (\frac{1}{513.15} - \frac{1}{289})}} = e^{3.02291 \dots}

= 1500 e^{3.02291 \dots}

e^{3.02291 \dots} = 20.55120 \dots

= 1500 \cdot 20.55120 \dots

Multiply the numbers:

1500 \cdot 20.55120 \dots = 30826.80100 \dots

= 30826.80100 \dots

2.97 x 1 0^{- 2}

(\frac{3 d e ^{- 1}}{12 n e ^{2} f})^{(- 3)}

e^{- 2 x} (3 e^{3 x})

3.515 \cdot 1 0^{- 8} \cdot (27 - 10)

What is 1500*e^{-2000*(1/(513.15)-1/289)} ?
The solution to 1500*e^{-2000*(1/(513.15)-1/289)} is 30826.80100…